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Finding the Fourth Proportional to 8,333.42, 12,502.35 and 3,069.09

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Solution

The fourth proportional to 8,333.42, 12,502.35 and 3,069.09 is: 4,604.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,333.42 : 12,502.35 = 3,069.09 : x
  2. Step 2: Convert to fraction form
    8,333.42/12,502.35 = 3,069.09/x
  3. Step 3: Cross multiply
    8,333.42x = 12,502.35 × 3,069.09
  4. Step 4: Simplify right side
    8,333.42x = 38,370,837.36
  5. Step 5: Solve for x
    x = 38,370,837.36/8,333.42
  6. Step 6: Final answer
    x = 4,604.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.